Discrete Dirac system: rectangular Weyl functions, direct and inverse problems
نویسندگان
چکیده
منابع مشابه
Weyl theory and explicit solutions of direct and inverse problems for a Dirac system with rectangular matrix potential
A non-classical Weyl theory is developed for Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and the corresponding direct problem is treated. Furthermore , explicit solutions of the direct and inverse problems are obtained for the case of rational Weyl matrix functions.
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A non-classical Weyl theory is developed for Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and the corresponding direct problem is solved. Furthermore, explicit solutions of the direct and inverse problems are obtained for the case of rational Weyl matrix functions. Mathematics subject classification (2010): 34B20, 34L40, 15A15, 93B15.
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در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Inverse Spectral Problems in Rectangular Domains
We consider the Schrödinger operator − + q in domains of the form R= x ∈ n 0 ≤ xi ≤ ai i = 1 n with either Dirichlet or Neumann boundary conditions on the faces of R, and study the constraints on q imposed by fixing the spectrum of − + q with these boundary conditions. We work in the space of potentials, q, which become real-analytic on n when they are extended evenly across the coordinate plan...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2014
ISSN: 1846-3886
DOI: 10.7153/oam-08-45